Strong convergence of three-step iteration methods for a countable family of generalized strict pseudocontractions in Hilbert spaces
DOI10.1186/1687-1812-2014-66zbMath1345.47045OpenAlexW2129388920WikidataQ59323942 ScholiaQ59323942MaRDI QIDQ286857
Lu-Chuan Ceng, Xiao-Jie Wang, Hui-ying Hu, Shi-Xiu Li
Publication date: 26 May 2016
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1812-2014-66
strong convergencefixed pointgeneralized strict pseudocontractionthree-step hybrid viscosity approximation methodthree-step Ishikawa-type iteration methoduniformly closeduniformly Lipschitz
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On Naimpally and Singh's open questions
- Strong convergence theorem for pseudo-contractive mappings in Hilbert spaces
- Convergence of Ishikawa's iteration method for pseudocontractive mappings
- The convergence theorems of the sequence of Ishikawa iterates for hemicontractive mappings
- A hybrid algorithm for pseudo-contractive mappings
- Convergence theorems for \(\lambda \)-strict pseudo-contractions in 2-uniformly smooth Banach spaces
- Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
- The solution by iteration of nonlinear equations in uniformly smooth Banach spaces
- On the convergence problems of Ishikawa and Mann iterative processes with error for \(\Phi\)-pseudo contractive type mappings
- Viscosity approximation methods for nonexpansive mappings
- Convergence theorems of fixed points for Lipschitz pseudo-contractions in Hilbert spaces
- Construction of fixed points of nonlinear mappings in Hilbert space
- An example on the Mann iteration method for Lipschitz pseudocontractions
- Fixed point iteration for pseudocontractive maps
- Strong Convergence of a Proximal-Type Algorithm in a Banach Space
- Fixed Points by a New Iteration Method
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- Mean Value Methods in Iteration
